Answer:
1: (C)
2: (C)
3: (D)
4: (A)
5: (D)
Step-by-step explanation:
<u>1: "Which could be the entire interval over which the function, f(x), is negative?"</u>
When f(x) is negative, that means the values under the f(x) column is negative. As you can see, -16 & -8 are the only times when f(x) is negative. To find the interval, we are going to use x-values. Notice how as x continues to decrease, f(x) also decreases. So the answer is (-infinity, -6).
<u>2: "Which equation represents the graphed function?"</u>
Looking at the graph, we see that the y-intercept is (0, -2). However, all the answer choices have the correct y-intercept, so now we must focus on getting the correct slope. The slope is positive, so the answer is either (A) or (C). To find the correct answer, use the rise/run method from (0, -2) to (4, -1). You rise 1 and run 4, so the slope is 1/4. The answer is y = 1/4x - 2.
<u>3: "If f(1) = 10, what is f(3)?"</u>
I honestly don't know how to do this one. I looked it up on Brainly and some other people said the answer is 30. Credits to dragonheartedking on Brainly.
<u>4: "Which table represents a linear function?"</u>
Table A represents a linear function because each time x increases by 1, y increases by the same amount of 4 each time. It doesn't fluctuate like the rest of the answer choices.
<u>5: "How many units below the y-intercept of g(x) is the y-intercept of f(x)?"</u>
The y-intercept is the point where the function intersects with the y-axis. We start from (0, 2) and count the units as we reach (0, -1). The answer is 3 units.
Hope this helps (●'◡'●)
